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Claudia E. Zapata Assistant Professor
Examples of Use of Climatic Model on the Design of Flexible Pavements
2013 Seminar International Civil Aviation Organization ICAO South American Regional Office
Lima, Peru– August 6th-9th , 2013
Agenda
Study 1 Estimation of moisture profile for the Port of Long Beach
Study 2 Estimation of moisture content under airfields Study 3
Impact of site location and groundwater table depth on the thickness of airfield pavements
Overview
In the past, the majority of structural designs for highway and airfield pavements have been developed considering saturated conditions for unbound material layers Variety of environmental locations and groundwater table (GWT) conditions
Overview
Unsaturated soil mechanics coupled with site environmental conditions has not been implemented in airfield pavement analysis by the practicing community The variations of environmental locations, GWT depth and site soil properties have a significant impact on structural design of highway and airfield pavements
study 1 Estimation of moisture profile for the Port of Long Beach
Overview
Independent assessment of the Main Harbor Terminal pavement designs for the port of Long Beach (California)
Project objectives
Assess economic predictions of alternative designs
Maintain performance with lowest possible costs in life cycle
Reduce pavement construction costs
Proposed MHT layout and design area locations
Wharf Area (Area 1) No Design Work
Waterside Traffic Area (Area 2)
Waterside Transfer Area (Area 3)
Container Yard Stacking Area (Areas
4a and 4b)
Landside Transfer Area (Area 5)
Landside Traffic (Area 6)
Landside Roadway (Area
7) Landside
Traffic (Area 8)
Intermodal Yard Wheeled
Buffer Area (Area 9)
Non-ASC Storage Area
(Area 10) RMP
(Area 11)
Estimation of the Thornthwaite Moisture Index
Variable Mean Variance Standard Deviation
Precipitation (in.) 30.2 185.8 13.6
Annual Heat Index 80.7 5.9 2.4
Potential Evapotranspiration 77.8 9.8 3.1
Thornthwaite Moisture Index -35.7 178.1 13.3
Estimation of the Thornthwaite Moisture Index
Monte Carlo Simulation Condition Number of Simulations: 25,000 Location: Long Beach, CA Weather Station: Long Beach Daugherty Field
Airport Latitude: 33.5° Longitude: -118.1° Elevation: 37 ft = 11 m
Current degree of saturation
0
5
10
15
20
25
0 20 40 60 80 100
Dept
h (ft
)
Degree of Saturation (%)
Boring 1
Boring 2
Boring 3
Boring 4
Boring 5
Boring 6
Boring 7
Average
Theoretical degree of saturation at equilibirum vs. current degree of saturation
0.05.0
10.015.020.025.030.035.0
0 20 40 60 80 100 120
Dept
h (ft
)
Degree of Saturation (%)
Theoretical S% at Equilibrium
Current S%
Final design CBR and Mr
Depth Mr Design CBR
Surface to -5’ E = 18,000 psi 20%
-5’ to -7’ E = 15,000 psi 15%
-7’ to -16’ E = 11,000 psi 9.5%
> -16’ E = 8,000 psi 6%
Final design subgrade stiffness
Equivalent Foundation Reaction Modulus (for Rigid Pavement)
ksg = 141 pci
Equivalent Foundation Resilient Modulus (for Flexible Pavement)
Esg = 15,000 psi
California Bearing Ratio CBRsg = 15
Major findings / benefits to the POLB
The use of the state-of-the-art technology of unsaturated soil mechanics clearly demonstrated and was verified by field results that Design Equilibrium Strength of Subgrade foundation should not be based upon saturated (soaked) soil strength tests.
Major findings / benefits to the POLB
Use of “Soaked Samples” are quite conservative in the Los Angeles basin area, where negative Thornthwaite Moisture Indices show overall tendencies of soils to be in a “suction behavior mode”
This will lead to the design of much thinner (and cheaper) pavement cross sections that would be actually needed for the performance period
Historic strength data used at the port was based on a soaked CBR design value of 8.
The use of unsaturated soil properties allowed for the final design CBR to be increased to a value of 15.
Early computations indicated that cost savings of $5-$10 million could be achieved for the approximate 1 million square feet of pavement to be required
study 2 Comparison of actual field measured moisture contents to theoretically predicted moisture
To study the feasibility of using the environmental models to estimate moisture content distribution under airfields
Study done for the USAF by Zapata and Cary (2012)
11 airfields
734 water content measurements October 1945-November 1952 Structure and materials properties
obtained from reports Climatic data files (HCD) generated
from NCDC historic records Results from about 140 M-EPDG runs
Data from 4 different locations and different depths below runway and taxiway pavements
(a)
Site properties GWT Avg.Ann. Temp. Airfield
No Airfield Airfield Zone AC Depth Rainfall Range ElevationName Location Class (in) (in) Type PI P200 (in) Type PI P200 Type PI P200 Type PI P200 (ft) (in) (F) (ft)
1 Kirtland AFB Albuquerque, NM Arid L1 2 8.5 SC 4 10 SC 7 29 SC 4 31 >100 7 104 to -10 5000
L2 SC 4 10 SM 5 - SM 4 -
L3 SC 4 3 SM NP 30 SC 5 32
L4 SC 3 35 SC 4 34 SC 6 36
2 Santa Fe MA Santa Fe, NM Semi-arid L1 3 8.5 GC 15 25 CL 21 52 SC 24 35 >100 10 97 to -13 6000
L2 GC 11 14 SC 18 38 SC 27 25
L3 GC 13 18 SC 19 36 SC 21 30
L4 CL 17 54 CL 10 - CL 10 -
3 Clovis AFB Clovis, NM Semi-arid L1 1.5 12 SC 6 24 CL 9 50 CL 14 45 >100 15 109 to -11 4100
L2 SC 7 33 CL 17 44 CL 12 44
L3 SC 7 27 CL 16 44 CL 10 44
L4 SC 8 - CL 13 - CL 8 -
4 Bergstrom AFB Austin, TX Dry L1 2 9 GM 1 14 2 to 4 CL 7 41 CH 31 58 CH 33 47 20 33 109 to -1 600
Sub-humid L2 GM 1 12 CL 8 48 CH 53 55 CH 45 67
L3 GM NP 14 CL 4 46 CH 38 63 CH 40 50
L4 CH 29 60 CH 29 60 CH 29 60 CH 29 60
5 Goodfellow AFB San Angelo, TX Semi-arid L1 2 14 SC 10 36 CH 30 88 CL 28 87 >50 16 111 to 1 2000
L2 SC 11 38 CH 33 91 CH 30 91
L3 SC 9 37 CH 30 88 CL 28 90
L4 CH 32 84 CL 22 78 CL 22 78
6 South Plains AFB Lubbock, TX Dry L1 1.5 8 GM 7 11 CL 14 55 CL 18 55 80 17 108 to -17 3200
Sub-humid L2 GM 3 15 CL 11 54 CL 17 54
L3 GM NP 10 CL 14 54 CL 18 56
L4 CL 16 62 CL 16 62 CL 16 62
7 Memphis MA Memphis, TN Humid L1 3 9 GC 16 16 CL 14 83 CL 17 80 Near Sf 51 106 to -9 275
L2 GC 9 6 ML 7 82 CL 20 66
L3 GC 13 7 ML 5 89 CL 12 84
L4 CL 9 92 CL 9 92 CL 9 92
8 Keesler AFB Biloxi, MS Humid L1 2 9 GW NP 10 SW NP 5 SW NP 5 3 to 6 76 104 to 1 10
L2 GW NP 8 SW NP 5 SW NP 2
L3 SW NP 12 SW NP 2 SW NP 0
L4 SW NP - SW NP - SW NP -
9 WES Test Strip Vicksburg, MS Humid L1 2 9 SC 4 12 CL 20 100 CL 20 100 >100 52 104 to -1 200
L2 SC 4 12 CL 19 100 CL 20 100
L3 SC 4 12 CL 20 100 CL 20 100
L4 CL 20 98 CL 21 100 CL 20 100
10 Craig AFB Selma, AL Humid L1 1.5 9 SC 14 17 SM 3 37 SM 4 45 7 50 106 to -5 150
L2 SC 14 17 SM 3 37 SM 4 45
L3 SC 14 17 SC 10 37 SM 4 45
L4 SM 3 45 SM 3 45 SM 4 45
11 Vicksburg MA Vicksburg, MS Humid L1 1.5 9 GC 11 12 ML 3 98 ML 5 - 5.5 52 104 to -1 99L3 GC 11 12 ML 3 98 ML 5 -L4 ML - - ML - - ML - -
Site
Runw
ayRu
nway
Runw
ayRu
nway
Taxiw
ayTu
rnab
out
Taxiw
ayRu
nway
Runw
ayRu
nway
Runw
ay
StructureSubgrade-Comp. Subgrade-Nat.Sampling Base Course Sub-base
Thornthwaite Moisture Index Zone Class No TMI Material
1 -49 Base Material(Kirtland) Compacted Subgrade
Natural Subgrade
2 -35 Base Material(Goodfellow) Compacted Subgrade
Natural Subgrade
3 -32 Base Material(Santa Fe) Compacted Subgrade
Natural Subgrade
4 -24 Base Material(Clovis) Compacted Subgrade
Natural Subgrade
5 -19 Base Material(South Plains) Compacted Subgrade
Natural Subgrade
6 -8 Base Material(Bergstrom) Subbase Material
Compacted Subgrade
Natural Subgrade7 35 Base Material
(Vicksburg) Compacted Subgrade
Natural Subgrade8 38 Base Material
(Memphis) Compacted Subgrade
Natural Subgrade9 41 Base Material
(Craig) Compacted Subgrade
Natural Subgrade10 47 Base Material
(WES) Compacted Subgrade
Natural Subgrade11 54 Base Material
(Keesler) Compacted SubgradeNatural Subgrade
Dry
Sub
-hum
id
(0
> T
MI >
-20)
Hum
id
(TM
I > 2
0)
Arid
and
Sem
i-arid
(TM
I < -2
0)
Climatic data collected from NCDC
Kirtland Air Force Base / Albuquerque WB AP Station
Elevation (ft) 5,314 Latitude 35°02'60" Longitude 106°36'60"
Mean Monthly Temperature (F) Annual
Mo./Yr. Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Average
1944 29.2 40.0 44.4 52.2 63.9 73.3 76.4 76.3 68.6 58.7 43.0 36.3 55.2
1945 36.8 43.0 45.0 52.3 66.2 72.6 78.4 78.2 70.6 58.6 45.2 33.4 56.7 :
1957 39.9 48.1 47.3 54.2 61.9 74.8 79.1 76.0 70.3 56.6 40.3 38.5 57.3
1958 35.3 43.5 42.8 53.0 68.6 78.5 79.6 78.9 69.2 56.9 46.0 41.5 57.8 Monthly Precipitation (in) Total
1944 0.46 0.42 0.49 0.91 0.57 0.85 1.58 1.44 0.65 0.86 0.56 0.76 9.55
1945 0.34 0.32 0.50 0.77 0.01 0.01 1.09 2.27 0.26 0.43 0.01 0.35 6.36 :
1957 0.78 0.59 0.52 0.38 0.35 0.04 2.48 1.32 0.00 2.59 1.24 0.32 10.61
1958 0.21 0.27 1.71 0.62 0.43 0.22 0.14 1.74 1.34 1.72 0.37 1.35 10.12
CL
OV
IS A
FB -
BA
SE C
OU
RSE
CL
OV
IS A
FB –
CO
MPA
CT
ED
SU
BG
RA
DE
CL
OV
IS A
FB –
NAT
UR
AL
SUB
GR
AD
E
Nat
ural
Sub
grad
e C
ompa
cted
Sub
grad
e B
ase
Cou
rse
Top of Base Course
Kirtland AFB, New Mexico
Top of Subgrade
Kirtland AFB, New Mexico
Into the Subgrade
Kirtland AFB, New Mexico
Near Pavement Intermediate Near PavementCenter Line Location Edge
n 257 226 251ealg -27% -24% -6%eabs 34% 34% 21%
734Total Number of Data Points Analyzed
Parameter
735 datapoints – 11 airfields
part I: conclusions
Less error in predictions were observed near the pavement edge
Better predictions were obtained for subgrade materials
Evaluation, adjustment and calibration of EICM models to accommodate for airfield pavements will be needed
2-D water flow analysis will be necessary to improve predictions
Less error in predictions were observed near the pavement edge
Better predictions were obtained for subgrade materials
Evaluation, adjustment and calibration of EICM models to accommodate for airfield pavements will be needed
2-D water flow analysis will be necessary to improve predictions
Results suggest EICM model has potential to be adapted and
incorporated in airfield pavements design
The primary factor driving the selection of in-situ strength must
be governed by the site environmental conditions along
with the location of the groundwater table at the design
site location
The development and eventual implementation of the proposed
enhanced methodology, that would lead to a more accurate estimate of the in-situ strength, could provide significant economic benefits and cost savings to airfield pavement
design, evaluation and rehabilitation studies all over the world.
study 3 Impact of site location and groundwater table depth on the thickness of flexible airfield pavements
part I: introduction
Environmental effects on pavement design and performance is a fundamental component of any Mechanistic-Empirical Pavement Design procedure.
However, current airfield design procedures do not consider the effects of groundwater table depth and the effect due to environmental conditions.
There is a significant need to incorporate the influence of environmental site factors and the groundwater table depth upon flexible airfield pavement design and performance.
A methodology and computer code was developed at Arizona State University that allows for this analysis, including special considerations for unsaturated regions.
part II: objective of the study
Provide a quantitative assessment of the potential benefits and savings in pavement design thickness that occur due to the inclusion of specific environmental site properties
Environmental site properties analyzed included moisture, temperature and groundwater table depth
The study focuses upon the prediction of pavement thickness to guard against excessive shear deformations or rutting for asphalt pavements.
Analysis was provided for a series of aircraft types, subgrade support values, different geographic locations across the US, and a range of GWT depths.
part III: the analysis
5 different climatic conditions
3 subgrade soils
6 groundwater table depths
Experimental Matrix 2 levels of design traffic
3 aircraft types
540 simulations
This study used the Limiting Subgrade Strain criteria developed for the newly revised USACE-β approach.
The Limiting Subgrade Strain criteria is a performance criteria applicable to design for excessive shear deformations (rutting) of the pavement.
The USACE limiting strain criteria is expressed as follows:
Input Needed
Material Properties and Structure
Layer Number 1 2 3 4 Material Type Asphalt Base Subbase Subgrade Thickness (in) 6.0 14.0 Variable Semi-Infinite Poisson Ratio 0.35 0.40 0.45 0.45 Elastic Modulus (ksi) 300 38 32 20 10 5
AASHTO Classification -- A-1-b A-2-4 A-4 A-6 A-7-6
Passing #200 (%) -- 17 22 60 70 80 Plasticity Index , PI -- 1.5 4 6 14 28 Specific Gravity, Gs -- 2.65 2.68 2.68 2.69 2.68 wopt % -- 8 14 12 15 20 γd max (pcf) -- 130 115 119 114 102
part IV: the software
Daniel Rosenbalm
Claudia E. Zapata
Carlos Cary Matthew Witczak
ZAPMEDACA Ramadan Salim
Mena Souliman
ZAPMEDACA
This program is an educational software program for the analysis of asphalt highway and airfield pavement structures
The program computes stress, strains, and displacements within the pavement structure from an enhanced application of Odemark’s transformation theory of layered systems
Pavement responses are computed by numerical integration of the Boussinesq solution
ZAPMEDACA
Program evaluates any multi-tire configuration of wheel loads
Each tire can be modeled by a circular, rectangular or elliptical wheel load and can be treated with either a uniform or non-uniform contact pressure
ZAPMEDACA
The most significant capability of the program is its ability to incorporate actual site environmental factors and GWT depth to characterize real time effect of partially saturated to saturated conditions/response of all unbound layers
For each design option, five main modules exist:
Load Configuration
Traffic Analysis
Pavement Structure
Environmental Effects
Stress Analysis
Main Module
18 KSAL Highway Approach
User Defined Critical Vehicle Gear
USACE Airfield Design (Revised)
Main module
Load Configuration
Pavement Structure and Material Properties
Traffic library
Traffic Input
Environmental effects
Location Longitude (decimal)
Latitude (decimal) TMI
Athens-GA -83.20 33.57 32.60 Cleveland-OH -81.51 41.24 41.65
Dallas-TX -97.02 32.54 -1.89 Los Angeles-CA -118.25 33.56 -31.62 McAlester-OK -95.54 34.54 2.51
Miami-FL -80.19 25.49 17.32 Orlando-FL -81.19 28.26 18.63 Phoenix-AZ -112.07 33.45 -54.95
Portland-ME -70.18 43.38 59.31 Raleigh-NC -78.47 35.52 37.52 Salem-OR -123.00 44.55 50.84
Seattle-WA -122.19 47.28 40.57 Shreveport-LA -93.49 32.27 31.84
Environmental effects
Stress Analysis
Stress Analysis
Vertical subgrade strain criteria
Rutting Design Criteria
Rutting Design Criteria
Rutting Design Criteria
part IV: the results
Resulting subgrade modulus after considering the environmental effects for 5 cities
Resulting subgrade modulus after considering the environmental effects for 5 cities
Cost savings are proportional to savings of subbase thickness
Subbase thickness (in) for selected aircrafts
Required subbase thickness (in) for Boeing B737-600
Required subbase thickness (in) for Airbus A300-C4
Required subbase thickness (in) for Boeing B747-400 N = 100,000
Required subbase thickness (in) for Boeing B747-400 N = 1’000,000
part V: summary and conclusions
ZAPMEDACA software/program is a powerful analytical tool that incorporates environmental effects in airfield design
This has not been accomplished by any other airfield pavement design procedure used in the world!!
Savings of subbase material up to 2.5 feet for lighter B-737 aircraft to as much as 3 to 8 feet for heavier B-747 aircraft may occur when unsaturated soil mechanics / environmental conditions are incorporated in the pavement design process.
Savings are obvious when design thicknesses are compared to those obtained with the classical assumption used in most pavement design methods that rely upon fully soaked evaluation of all unbound material layers.
Results generated from this study provide quantitative evidence of the significant savings that may be accrued in the design, construction and rehabilitation of airfield pavements by using unsaturated soil mechanics principles in the design methodologies
part VI: recommendations
Several major additions need to be made to enhance ZAPMEDACA: Consider a wider range of computational
improvements
Additional distress types
Real time environmental model changes in unbound layers for flexible airfield pavement systems
Addition of the latest FAA criterion (FAARFIELD)
Controlled full-scale field tests to validate the results of ZAPMEDACA analysis are necessary but the analysis is valid for any climatic condition
International airfield pavement design agencies responsible for airfield operation should carefully re-evaluate the current state of the practice and move to incorporate more precise and rational theories and methodologies
part VII: acknowledgments
I would like to acknowledge the general guidance, valuable input and recommendations given by Prof. Matt Witczak, the data provided by Dr. Ray Rollings, and to my former PhD student and co-author, Dr. Carlos Cary.
part VIII: muchas gracias!